High Performance Solution of the Complex Symmetric Eigenproblem

Document Type

Article

Publication Date

1998

Department

Computing

School

Computing Sciences and Computer Engineering

Abstract

Complex symmetric matrices often appear in quantum physics in the solution methods of partial differential equations such as the Schrodinger equation. We have recently introduced a new fast and efficient direct eigensolver for this problem in [4], and reported its performance in the eigenvalue calculation in [3]. In this paper, we further report on some benchmark tests for computing the full and partial eigenspectrum on a variety of super computing machines, i.e., the Gray J-932, the DEC Alfa 8400, and the SGI Power Challenge 8000 and 10000. We observe that in all cases the new algorithm is much faster than codes available in standard state of the art eigensolver packages such as LAPACK.

Publication Title

Numerical Algorithms

Volume

18

Issue

2

First Page

195

Last Page

208

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